Theorems · Theorem · number theory
NumberField.ComplexEmbedding.isConj_one_iff
∀ {K : Type u_1} [inst : Field K] {k : Type u_2} [inst_1 : Field k] [inst_2 : Algebra k K] {φ : K →+* ℂ},
NumberField.ComplexEmbedding.IsConj φ 1 ↔ NumberField.ComplexEmbedding.IsReal φ- Cited by
- 4 results in Mathlib
- Foundations
- Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Algebrastatement and proof · cited by 11,388
- RingHomstatement and proof · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- Complexstatement and proof · cited by 5,565
- AlgEquivstatement · cited by 1,681
- NumberField.ComplexEmbedding.IsRealstatement · cited by 38
- NumberField.ComplexEmbedding.IsConjstatement · cited by 24
Cited by4
Results whose statement or proof uses this declaration.
- NumberField.ComplexEmbedding.isConj_ne_one_iffproof · cited by 3
- NumberField.ComplexEmbedding.IsConj.isUnramified_mk_iffproof · cited by 2
- NumberField.InfinitePlace.isUnramified_mk_iff_forall_isConjproof · cited by 1
- NumberField.ComplexEmbedding.IsReal.isConjGal_oneproof · cited by 1